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3 years ago

Solve the simultaneous equations. xy = 4x + y = 5

Mathematics

2 answers:

lozanna [386]3 years ago

6 0

Answer:

1,4

4,1

Step-by-step explanation:

y = 4/x

substitute

x + 4/x = 5

multiply the whole thing by x to make life easier

x^2 +4 = 5x

X^2 -5x +4 = 0

(x-1)(x-4)=0

x-1=0 x =1

x-4 =0. x=4

so there are 2 solutions

x=1. y = 4

x =4. y =1

Maru [420]3 years ago

5 0

Answer:
if X=1 ; Y=4
if X=4 ; Y=1

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Classify the object with the given side lengths as acute, obtuse, right, or not a triangle.

iren [92.7K]

Answer:

We have to first see that the given lengths makes a triangle or not by using a+b > c in which a,b and c are

length of sides of a triangle lets check out

16 + 21 = 37 > 28

21 + 28 = 49 > 16

16+ 28 = 44 > 21

As because the statement fits correct in the lengths given so its a triangle

So we can say that the triangle is scalene by means of measurements

but cant be a right angle as by taking the pythagorean triplet

= a^2 + b ^ 2 = c^2

lets see if a=16, b = 21 and c = 28

So a^2 + b^2

= 256 + 441

= 697

but c^2

= 28^2 = 784

As 441 =/= 784

So The triangle lengths cant be a right angled triangle

So 1/2 of possibility is the traingle acute and 1/2 of the possibilty that the triangle is obtuse

Now you can find the correct triangle on the basis of acute or obtuse angle by drawing with given length of sides of triangle

Hope it helps

7 0

3 years ago

60 rulers cost £9 how much does 1 cost

USPshnik [31]

Answer:

the answer to your question is

6 2/3 if you were dividing 60 ÷ 9 that is

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3 years ago

Write a system of linear equations for the graph below

Goshia [24]

Answer:

$\left \{{{y=3-\frac{x}{3} }\atop { y=-2x-2}} \right.$

Step-by-step explanation:

$(-3,4),(0,3)\\y=3-\frac{x}{3} \\(-3,4),(0,-2)\\\\y=-2x-2$

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3 years ago

A hose fills a hot tub at a rate of 4.74 gallons per minute. How many hours will it take to fill a 294-gallon hot tub?

saveliy_v [14]

So the hose can do 4.74 gallons in 1 minute, how many minutes will it take for 294 gallons?

$\bf \begin{array}{ccll}
gallons&minutes\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
4.74&1\\
294&m
\end{array}\implies \cfrac{4.74}{294}=\cfrac{1}{m}\implies m=\cfrac{294\cdot 1}{4.74}
\\\\\\
m\approx 62.0253164556962$

and since there are 60 minutes in 1 hour, how many hours is that?

$\bf \begin{array}{ccll}
hours&minutes\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
1&60\\
h&62.0253164556962
\end{array}\implies \cfrac{1}{h}=\cfrac{60}{62.0253164556962}
\\\\\\
\cfrac{1\cdot 62.0253164556962}{60}\approx h$

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3 years ago

ANSWER ONLY IF YOU KNOW ( no links or ill report you)

Elis [28]

Step-by-step explanation:

$C=2\pi r$